Although in the prevailing view a necessary condition for having a crystalline phase is lattice
periodicity, it has become clear in the last decades that there are physical systems with …

Penrose tilings have become the canonical model for quasicrystal structure, primarily
because of their simplicity in comparison with other decagonally symmetric quasiperiodic …

Investigations of DNA computing have highlighted a fundamental connection between self-
assembly (SA) and computation: in principle, any computation can be performed by a …

Self-assembly plays a central role in the organization of matter; out of basic units ranging
from atoms to stars, self-assembly creates complex patterns ranging from crystals to …

For the first time the surface structure of an icosahedral quasicrystal could be resolved in
direct space by scanning tunneling microscopy. The surface was found to form terraces with …

The random tiling of the plane by a set of objects (eg, rhombi), related by rotational (eg
tenfold) symmetries, is a paradigm for the formation of quasiperiodic order due to entropy …

Mg–Zn–Y icosahedral quasicrystals have been prepared from the Mg 63.5 Zn 34 Y 2.5
(at.%) alloy by copper and steel molds casting respectively. The phase transformations …

We study thermodynamic properties, surface magnetization, specific heat and susceptibility
of XYquantum chains with coupling constants following arbitrary substitution sequences …

We consider the Ising model and the directed walk on two-dimensional layered lattices and
show that the two problems are inherently related: The zero-field thermodynamical …

For the first time the surface structure of an icosahedral quasicrystal has been successfully
investigated in Ultra-High Vacuum (UHV) by Scanning Tunneling Microscopy (STM) and …